Plot the zeros of this function:
f(x) = (x – 1)(x – 7).
Answers
Answer:
[tex]\boxed{\mathrm{view \: attachment}}[/tex]
Step-by-step explanation:
The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.
[tex]f(x) = (x - 1)(x - 7)[/tex]
Let output equal to 0.
[tex]0 = (x - 1)(x - 7)[/tex]
Set factors equal to 0.
[tex]x-1=0\\x=1[/tex]
[tex]x-7=0\\x=7[/tex]
The zeros of the function are [tex]x=1[/tex] and [tex]x=7[/tex].
Answer:
Step-by-step explanation:
Hope this Helps ;)
Related Questions
Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-one pi divided by ten ; negative pi divided by ten eleven pi divided by ten ; negative nine divided by ten twenty-one pi div
Answers
Answer:
The two angles coterminal with π/10 are 21π/10 and -19π/10
Step-by-step explanation:
To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.
So, the first angle coterminal with π/10 is
A = π/10 + 2π
taking the L.C.M which is 10, we have
A = (π + 20π)/10
A = 21π/10
The second angle coterminal with π/10 is
B = π/10 - 2π
taking the L.C.M which is 10, we have
B = (π - 20π)/10
B = -19π/10
So the two angles coterminal with π/10 are 21π/10 and -19π/10
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answers
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distanceB•h/2
B= x and H= 2x
Therefore 2x • x /2 = 400
2x^2 = 800
x^2 = 400
x = - or + 20
However since it’s the area it cannot be negative therefore the x value is 20
So the height is 40 (2x) while the base is 20 (x)
B) Given that the base is 20 and the height is 40, you can use Pythagoras Theorem where:
a^2 + b^2 = c^2
So 20^2 + 40^2 = 400 + 1600 = 2000
C^2 = 2000
C = square root 2000 ( insert in calculator and round up)
That gives you the hypotenuse.
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answers
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answers
Answer:
B. -1/3x
Step-by-step explanation:
Start with
y = mx + b
The y-intercept is 0, so we have
y = mx
To find m, the slope, start at (0, 0).
slope = m = rise/run
Go up 1 unit and left 3 units. Rise = 1; run = -3.
m = 1/(-3) = -1/3
Now we have
y = -1/3x
Answer: B.
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answers
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units
Answers
Answer:
Option (C) 235.5 cubic units
Step-by-step explanation:
Data obtained from the question include:
Radius (r) = 5 units
Height (h) = 9 units
Pi (π) = 3.14
Volume (V) =..?
The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:
V = 1/3πr²h
With the above formula, we can obtain the volume of the oblique cone as follow:
V = 1/3πr²h
V = 1/3 x 3.14 x 5² x 9
V = 3.14 x 25 x 3
V = 235.5 cubic units.
Therefore, the volume of the oblique cone is 235.5 cubic units.
You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
Answers
what is the (Highest Common Factor) HCF of 77, 91 and 143. Also give its index notation
Answers
Answer:
Hello!
____________________
77 = 1 x 7 x 11
91 = 1 x 7 x 13
143 = 1 x 11 x 13
Step-by-step explanation: There are no HCF's except 1. So 1 is the highest common factor. HCF ( 77, 91 143 ) = 1
Hope this helped you!
Answer:
HCF = 1
Step-by-step explanation:
Factors of 77 = 1,7,11,77
Factors of 91 = 1, 7, 13, 91
Factors of 143 = 1, 11, 13, 143
The Highest factor which is common in all of the factors is 1.
Index notation = [tex]1^1[/tex]
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?
Answers
Same number of rows to chairs in a row would form a square.
Use the total number of students as the area
Find the number or rows by taking the square root of student:
The square root of 7033 is 83.86
Round up to 84
Total seats would be rows x seats per row:
84 x 84 = 7,056 total seats
7056 seats - 7033 students = 23 empty seats
If f(x)= x-6 and g(x)=x2(x+3), find g(x) x f(x)
Answers
Answer:
x^4 -3x^3 - 18x^2
Step-by-step explanation:
f(x)= x-6
g(x)=x^2(x+3),
g(x) * f(x) = (x-6) * x^2(x+3)
= x^2 ( x-6) ( x+3)
FOIL
= x^2 ( x^2 +3x-6x-18)
Combine like terms
= x^2 ( x^2 -3x-18)
Distribute
= x^4 -3x^3 - 18x^2
Answer:
x⁴ - 3x³ - 18x²
Step-by-step explanation:
g(x) × f(x)
(x²(x + 3)) × (x - 6)
Expand brackets.
(x³ + 3x²)(x - 6)
x³(x - 6) + 3x²(x - 6)
x⁴ - 6x³ + 3x³ - 18x²
Combine like terms.
x⁴ - 3x³ - 18x²
What two numbers multiply to 1/4 and add to -1?
Answers
Answer:Are there any options?
Step-by-step explanation:
Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find two numbers whose product is 1/4 and add to -1.
Let the two numbers are x and y.
By given,
Two numbers multiply to 1/4
xy=1/4
Two numbers add to -1
x+y=-1
Let x=-y-1
Substitute in equation 1.
(-y-1)y=1/4
-y²-y-1/4=0
Multiply negative on both sides
y²+y+1/4=0
Use quadratic formula
b=1,c=1/4,a=1
y=-1±√1-1/2=-1/2
Now substitute y in x+y=-1
x-1/2=-1
x=-1+1/2
x=-1/2
Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
To learn more on Equation:
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Find the area of the regular polygon.
32
Answers
Answer: 45
Step-by-step explanation: that is correct
What is the product? [ 4 2 ] x [ -2 5 7 -1 ]
Answers
Answer:
The fourth option is correct [6 18]Step-by-step explanation:
This problem has to do with matrix multiplication.
we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix
=[4*-2+2*7] and [4*5+2*-1]
=[-8+14] and [20+-2]
=[6 18]
Answer:
c. (6,18)
Step-by-step explanation:
What is 5d - 10 = 20
Answers
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to each side
5d - 10+10 = 20+10
5d = 30
Divide by 5
5d/5 = 30/5
d = 6
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to both sides of the equation
5d = 30
Divide both sides of the equation by 5
d = 6
Hope this helps :)
Multiply. (5x+7)^2 :)
Answers
Answer:
The answer is B.
Step-by-step explanation:
You can expand it in a simplier way using :
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]
Answer:
B. 25x^2+70x+49
Step-by-step explanation:
To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).
So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.
F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)
Answers
Answer:
(f - g)(x) = -x² + 2x + 8
Step-by-step explanation:
Step 1: Plug in variables
2x + 1 - (x² - 7)
Step 2: Distribute the negative
2x + 1 - x² + 7
Step 3: Combine like terms
-x² + 2x + 8
Answer:
-x^2 +2x +8
Step-by-step explanation:
F(x) = 2x+1
g(x) =x^2-7
(f-g) (x) =2x+1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 -x^2 +7
-x^2 +2x +8
. (43 x 2) x 5 = 43 x (2 x 5)
what property is this
Answers
Answer:
This property is known as the associative property
Step-by-step explanation:
In the associative property, you rearrange the numbers so they make the most sense in what position they are in.
Hope this helps! :)
Answer:
associate property
:<
1. A bag contains 15 red balls and 6 blue balls. Find the probability of picking at random a blue ball from the bag.
2. A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball ?
3. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
4. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
5. A bag contains 6 blue and 5 black balls. Wihat is the probability of picking a black ball at random?
Answers
Answer:
1. 6/21
2. 6/14
3. 12/20
4. 4/12
5. 5/11
Step-by-step explanation:
color of ball your looking for/Total amount of balls
Probability for the situations given are 1. 6/21, 2. 3/7, 3. 3/5, 4. 1/3 and 5. 5/11.
What is Probability?Probability is the chance of getting an outcome for an event. Probability is calculated by dividing the number of likely outcomes by the total number of outcomes.
1. Number of red balls = 15
Number of blue balls = 6
Total number of balls = 15 + 6 = 21
Probability of getting a blue ball = 6/21
2. Number of white balls = 6
Number of red balls = 8
Total number of balls = 6 + 8 = 14
Probability of getting a white ball = 6/14 = 3/7
3. Number of red balls = 12
Number of blue balls = 8
Total number of balls = 20
Probability of getting a red ball = 12/20 = 3/5
4. Number of blue balls = 4
Number of red balls = 8
Total number of balls = 12
Probability of getting a blue ball = 4/12 = 1/3
5. Number of blue balls = 6
Number of black balls = 5
Total number of balls = 11
Probability of getting a black ball = 5/11
Hence the probabilities of selecting a ball at random in each case has been answered.
Learn more about Probability here :
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0.6y + 0.8 = 0.28y + 1.12
Answers
Answer:
y = 1Step-by-step explanation:
[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]
Move the variable to L.H.S and change its sign:
[tex]0.6y - 0.28y + 0.8 =1.12[/tex]
Move the constant to R.H.S and change its sign:
[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]
Calculate
[tex]0.32y = 0.32[/tex]
Divide both sides of the equation by 0.32
[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]
Calculate
[tex]y = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~
0.6y + 0.8 = 0.28y + 1.12 =
[tex]y = 1[/tex]
~~~~~~~~~~~~~~~~~`~~~
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you. Brainliest would be nice!
☆_________________❤︎_________________☆
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answers
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1?
Answers
Answer:
y = -x -7
Step-by-step explanation:
-5 = -1(-1) + b
-7 = b
y = -x -7
Answer:
y=−x−6
Step-by-step explanation:
The y-intercept is b=y1 −m⋅x1
b=−5−(−1)x(−1)=−6.
so y=mx+b.
y=−x−6.
Answer:
The slope of the line is m=−1.
The equation of the line in the slope-intercept form is y=−x−6.
based on the function h(t), what will be the account value five years after the account is opened?
Answers
Answer:
Option B
Step-by-step explanation:
f(t) = 5000
g(t) = 250t
h(t) = f(t) + g(t) = 5000 + 250t
After 5 years, the amount of money in the account is:
h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$
HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answers
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
(5x – 3y) (3x + 4y)
Answers
Answer:
[tex]15 {x}^{2} + 11xy - 12 {y}^{2} [/tex]Solution,
( 5x - 3y) ( 3x +4y)
Multiply each terms in the first parentheses by each term in the second paranthesis.
5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y
Calculate the product
15x^2 + 20xy -9xy -12y^2
Collect like terms and simplify
15x^2 + 11xy -12y^2
Hope this helps...
Good luck on your assignment...
Answer:
[tex]\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}} [/tex]
Step-by-step explanation:
[tex]\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2} + 20xy - 9xy - 12 {y}^{2} } \\ \pink{= 15 {x}^{2} + 11xy - 12 {y}^{2} }[/tex]
Which is true about the domains and ranges of the functions f(x) = 1/8sqrt(x) and g(x) = 8sqrt(x)?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answers
Answer:
They have the same domain and range.
Step-by-step explanation:
Since both are derived from the parent graph f(x) = √x, we know that the domain of the parent graph is [0, ∞) and the range is also [0, ∞). Since both graphs are only being modified by vertical stretch/shrink, they still have the same domain and range as the parent graph. Therefore, both graphs have the same domain and range.
Answer:
They have the same domain and range
Step-by-step explanation:
they're both in the first quadrant
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
Answers
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
Differentiate x^(-3)/3-2x^2-x^(-1)
Answers
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
plz answer this one clip is down below will mark brainiest if get it right thank you
Answers
Answer:
Third option is correct.
Step-by-step explanation:
Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.
Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.
Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.
PLEASE HELP!!!
Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?
Answers
Answer:
standard deviation=143.527
C
Step-by-step explanation:
75, 82, 100, 120, 140.
if we add 450
75, 82, 100, 120, 140,450
standard deviation=143.527
find the mean=sum /count=967/6=161.167
then find the √square difference between each sample and the mean, add up the differences²/6-1
find the square root of the differences=143.527
Answer:
C-the new standard deviation is greater the $27
What are the three main areas of a machine?
Answers
Answer:
Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.
You can find more of this information on google if youd like.